Least Common Multiple of 4746 and 4750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4746 and 4750 the smallest integer that is 11271750 that is divisible by both numbers.

Least Common Multiple (LCM) of 4746 and 4750 is 11271750.

LCM(4746,4750) = 11271750

LCM of 4746 and 4750

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4746 and 4750

LCM of 4746 and 4750 is 11271750

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4750. First we will calculate the prime factors of 4746 and 4750.

Prime Factorization of 4746


2 4746
3 2373
7 791
113 113
1

Prime factors of 4746 are 2, 3, 7,113. Prime factorization of 4746 in exponential form is:

4746 = 21×31×71×1131

Prime Factorization of 4750


2 4750
5 2375
5 475
5 95
19 19
1

Prime factors of 4750 are 2, 5,19. Prime factorization of 4750 in exponential form is:

4750 = 21×53×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4750.

LCM(4746,4750) = 21×31×53×71×191×1131
LCM(4746,4750) = 11271750

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746

Factors of 4750

List of positive integer factors of 4750 that divides 4750 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750

Least Common Multiple of 4746 and 4750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4746 and 4750, than apply into the LCM equation.

GCF(4746,4750) = 2
LCM(4746,4750) = ( 4746 × 4750) / 2
LCM(4746,4750) = 22543500 / 2
LCM(4746,4750) = 11271750

Properties of LCM 4746 and 4750

(i) The LCM of 4750 and 4746 is associative

LCM of 4746 and 4750 = LCM of 4750 and 4746

Related Least Common Multiples of 4746

Related Least Common Multiples of 4750

Frequently Asked Questions on LCM of 4746 and 4750

1. What is the LCM of 4746 and 4750?

Answer: LCM of 4746 and 4750 is 11271750.

2. What are the Factors of 4746?

Answer: Factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746. There are 16 integers that are factors of 4746. The greatest factor of 4746 is 4746.

3. What are the Factors of 4750?

Answer: Factors of 4750 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375, 4750. There are 16 integers that are factors of 4750. The greatest factor of 4750 is 4750.

4. How to Find the LCM of 4746 and 4750?

Answer:

Least Common Multiple of 4746 and 4750 = 11271750

Step 1: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 4750

4750 = 2 x 5 x 5 x 5 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11271750 = 2 x 3 x 5 x 5 x 5 x 7 x 19 x 113

Step 4: Therefore, the least common multiple of 4746 and 4750 is 11271750.